Atkin-Lehner |
5+ 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18655b |
Isogeny class |
Conductor |
18655 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-6062875 = -1 · 53 · 7 · 132 · 41 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7- -2 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17956,920150] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1357:1] [67:149:1] |
Generators of the group modulo torsion |
j |
-640289955159691264/6062875 |
j-invariant |
L |
2.6638133387878 |
L(r)(E,1)/r! |
Ω |
1.6661276438182 |
Real period |
R |
0.79940253937587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93275f1 |
Quadratic twists by: 5 |